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Finding the Fourth Proportional to 929.80, 1,392.94 and 583.53

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Solution

The fourth proportional to 929.80, 1,392.94 and 583.53 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.80 : 1,392.94 = 583.53 : x
  2. Step 2: Convert to fraction form
    929.80/1,392.94 = 583.53/x
  3. Step 3: Cross multiply
    929.80x = 1,392.94 × 583.53
  4. Step 4: Simplify right side
    929.80x = 812,822.28
  5. Step 5: Solve for x
    x = 812,822.28/929.80
  6. Step 6: Final answer
    x = 874.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.